M is any positive integer greater than 2. Try to prove that M2-1, 2m, M2 + 1 are Pythagorean numbers. Note: "M2" is the second power of M

M is any positive integer greater than 2. Try to prove that M2-1, 2m, M2 + 1 are Pythagorean numbers. Note: "M2" is the second power of M

It is easy to know from the condition that m ^ 2 + 1 > 2m, and (m ^ 2-1) ^ 2 + (2m) ^ 2 = m ^ 4 + 2m ^ 2 + 1 = (m ^ 2 + 1) ^ 2